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Finding the Fourth Proportional to 65,184.21, 89,954.19 and 35,376.21

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Solution

The fourth proportional to 65,184.21, 89,954.19 and 35,376.21 is: 48,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.21 : 89,954.19 = 35,376.21 : x
  2. Step 2: Convert to fraction form
    65,184.21/89,954.19 = 35,376.21/x
  3. Step 3: Cross multiply
    65,184.21x = 89,954.19 × 35,376.21
  4. Step 4: Simplify right side
    65,184.21x = 3,182,238,315.82
  5. Step 5: Solve for x
    x = 3,182,238,315.82/65,184.21
  6. Step 6: Final answer
    x = 48,819.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.